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Finding the Third Proportional to 24,726 and 54,366

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Solution

The third proportional to 24,726 and 54,366 is: 119,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,726 : 54,366 = 54,366 : x
  2. Step 2: Convert to fraction form
    24,726/54,366 = 54,366/x
  3. Step 3: Cross multiply
    24,726x = 54,366 × 54,366
  4. Step 4: Simplify right side
    24,726x = 2,955,661,956
  5. Step 5: Solve for x
    x = 2,955,661,956/24,726
  6. Step 6: Final answer
    x = 119,536.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.